Given numbers are 166,409,225,460

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 166,409,225,460 is 702702900.

Find LCM of 166,409,225,460 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 83 x 409 x 45 x 46 = 702702900

Therefore, the lowest common multiple of 166,409,225,460 is 702702900.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

166 x 409 x 225 x 460 = 7027029000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

166 : 1, 2, 83, 166

409 : 1, 409

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,409,225,460, is 1.

Now, the common factors can be found like this.

166:2x 83

409:409

225:3x 3x 5x 5

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7027029000/(1x10)

LCM = 7027029000/10

LCM = 702702900

Thus, we can understand that the LCM of 166,409,225,460 is 702702900.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 506, 160, 559, 741
• LCM of 835, 665, 771, 640
• LCM of 184, 641, 720, 197
• LCM of 776, 574, 411, 265
• LCM of 544, 135, 348, 303

1. What is the LCM of 166, 409, 225, 460?

Answer: LCM of 166, 409, 225, 460 is 702702900.

2. How to calculate the LCM of 166, 409, 225, 460?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 166, 409, 225, 460.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.